The existence of linear selection and the quotient lifting property

Monika (), Fernanda Botelho () and Richard Fleming ()
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Monika: The University of Memphis
Fernanda Botelho: The University of Memphis
Richard Fleming: Central Michigan University

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 3, 774-781

Abstract: Abstract Lifting properties for Banach spaces are studied. An alternate version of the lifting property due to Lindenstrass and Tzafriri leads to a new geometric property called the quotient lifting property for pairs of Banach spaces (X, J), with J proximinal in X. Several necessary and sufficient conditions for the property to hold are given.

Keywords: Lifting property; Quotient lifting property; Metric projection; Metric complement; Proximinal subspaces; Linear selection; Primary 47L05; 46B28; 46B25 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13226-021-00171-z

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